Find the area enclosed by the curve x = t2 - 2t, y = Vt and the y-axis.

Q: Find the area of the region between the curve y 4 In x and the horizontal axis for

A: We have to find the area of the region between the curve  y=4 ln x and the horizontal axis for…

Q: Find the area between the curves y=3/x, y=12x, y=1/3x, x>0

A: We have to find the area between the curves y=3/x, y=12x, y=1/3x, x>0So, first of all we need to…

Q: Find the moment of inertia with respect to x-axis of the area bounded by the parabola y = 4x and the…

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Q: Find the area bounded by the given curves. y = 3x2 and y = 27…

A: Given:

Q: Find the area bounded by the curves y = 3 Vx +1 and y = + 1. %3D

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Q: Find the surface area of revolution about the x-axis of R.

A: Given curve y=2x, 2.3≤x≤4.2 We have to find the surface area of revolution.

Q: Find the area bounded by the curves -x + y² = 8, x = -2y and y = -2.

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Q: Find the Moment of Inertia for the area bounded by the parabola x2 + y = 1 and the coordinate axes…

A: Graph of the given equation: x2+y=1 Since we have to find the moment only  for the 1st quadrant…

Q: Find the area of the region enclosed between the curve x½ + y½ = aand the coordinate axes.

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Q: y = e²x and x - 2y + 5 = 0

A: x-2y+5=02y=x+5y=x+52The equations are: y=x+52y=e2x

Q: Find the area enclosed by the curve y=(x)^1/2, the tangent to the curve at x=4 and y axis.

A: Consider the provided information, y=x12 The tangent to the curve at x=4 and y axis. Find the area…

Q: find the area of the region enclosed by the curves y = 3x, y = -3 and y = 4 – x using integration.

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Q: Find the area of the curve bounded by the curves y=x* and y=3x+4.

A: We have to find th: e area of the curve bounded by the curves y=x4 and y=3x2+4.…

Q: Find the area under the curve y = 5xe-* for x > 0. %3D area %3D

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Q: Find the area between the curves y = ² + 3w and y = 3–r between r = -2 %3D and æ = 0. %3D

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Q: . Calculate the area enclosed by the curves y = x² and y = Vx. %3D

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Q: Calculate the area of the region bounded by the two curves y = x 2 and y = 4 using the formula A = i…

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Q: Determine the area enclosed by the curve r²=4sin(20).

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Q: Q5/ Find the area of the surface generated by revolving y = where 0 <x <2, about the X-axis.

A: Given that the area of the surface generated by revolving y=x39 where 0≤x≤2 about x-axis.

Q: Find the area between the two Curves- y=x, a°y = x³ 3,

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Q: Calculate the volume of the solid formed when the area shown below enclosed by the curve y = Vx, the…

A: To find the volume of the region bounded by the curve y=x, x=0, x=6:

Q: y = e²x and x - 2y + 5 = 0

A: I am attaching image so that you understand each and every step.

Q: Find the area between the curve y = sin 2x and y = x^2

A: the area is 4/5

Q: Find the area between x = y2, x - axis, x =y +2 To find the intersect points

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Q: Find the surface area of revolution about the y-axis of x 36 – y? over the interval 0 < y < 2 -

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Q: Find the exact area of the region that lies beneath the curve y = 8 sec2 (x), 0<x < n/3.

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Q: Find the area of the region enclosed by the line x = 2y and the curve x = y3 - y?

A: To calculate the area of the region bounded by the curves x=fy and x=gy, use the formula…

Q: Find the surface area of revolution about the y-axis of a 49 – y? over the interval 0 < y < 5

A: x = 49 - y2  Proof:  Let x = f ( y)  revolve about y - axis  Then surface area is given by formula…

Q: Find the area of the region enclosed between the curves y= x³ and x= y ?

A: Given: y=x3 and y=x

Q: Find the surface area generated by revolving Y=(x^3)/6 about the x axis over the interval [0, sqrt6]

A: qqq

Q: Find the moment of inertia with respect to y-axis the area bounded by a²y = x³ , the x-axis, and the…

A: Given....

Q: Find the moment of inertia with respect to y-axis the area bounded by * a?y = x3, the y-axis, and…

A: We have to find moment of inertia w.r.t y-axis the area bounded by a2y=x3, the y-axis, and the line…

Q: Find the area bounded by the curve y=x³, x=0, y=1 is revolved about the x axis.

A: The graph of the curves is

Q: Find the area of the region between the curves y |Jx and y x2-2 | Area between curves

A: Given,

Q: Find the area bounded by the curves h(y)=4y-y^2, m(y)=-y

A: Integrating within specified limits of the variable is known as definite integration. To find the…

Q: Find the Area bounded by the curves y2 = x and x = 2y – y?.

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Q: Find the area bounded by the curves, y = 2x –x² and y=x-2.

A: Here we have to find the area bounded by the curves, y=2x-x2 and y=x-2 .

Q: Find the area bounded by the two curves y = Vx and y = x².

A: The area between two curves f(x) and g(x) is given by A=∫abf(x)-g(x)dx f(x)=x2 and g(x)=x…

Q: Find the area enclosed by the curve ax =y(2a– y).

A: This question is based on application of integration.

Q: Determine the area bounded by the curves y = -² – 20z + 96 and y= (r – 4)?.

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Q: Find the area between the curves y = and y 3x +2. %3D

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Q: Find the area contained by the curve y x(x – 1)(x + 1) and the x – axis.

A: Graph of the function y=x(x-1)(x+1) will be as following

Q: Find the area between the curves defined by f(y) = y²+ 1, g(v) = 0, y = -1, y = 2

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Q: Find the area in the first quadrant bounded by the coordinate axes Va + Vỹ = 1 and the parabolic arc

A: Topic:- integration

Q: Find the area between the two curves y = 3 y = x² – 1 1+ x2'

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Q: Determine the exact area enclosed between the two curves y = (x)^1/2 and     y = 1/2(x)

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Q: Sketch the curve y'(4– x)= x' and find the area bounded by it and x = 4. A = 12T

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Q: Find the area enclosed by the curve  x = t2 − 2t, y = square Root(t) and the y-axis.

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Q: Sketch the region enclosed by the curves y = xe¬x², Find the area enclosed by the given curves. `, y…

A: Given: y=xe-x2, y=x+1, x=2 for finding area enclosed by given curve and y-axis, first we draw region…

Q: Find the area of region enclosed by the two curves y = Vx +1 and y = v2 x

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